Where does “Ἀμφιθόη” come from?

Ἀμφιθόη (Ancient Greek) comes from Ancient Greek θοός, from Ancient Greek θέω, from Ancient Greek θεϝ-, from Proto-Indo-European dʰew- — to die, pass away; to run, flow.

Ἀμφιθόη (Ancient Greek): Amphithoe, a Nereid

Definitions

Amphithoe, a Nereid

Ancestry of “Ἀμφιθόη”, step by step

Ἀμφιθόη traces back through two separate lines of ancestry.

via Ancient Greek θοός

Step	Language	Word	Meaning
1	Ancient Greek	θοός	quick, swift; sharp, pointed
2	Ancient Greek	θέω	I run; I fly
3	Ancient Greek	θεϝ-	—
4	Proto-Indo-European	dʰew-	to die, pass away; to run, flow

via Ancient Greek ἀμφί

Step	Language	Word	Meaning
1	Ancient Greek	ἀμφί
2	Ancient Greek	ὀξύς	sharp, pointed; sharp, keen; quick, hasty, swift
3	Proto-Indo-European	h₂eḱ-	sharp

Every word from Proto-Indo-European dʰew- →Every word from Ancient Greek θεϝ- →Every word from Ancient Greek θέω →